<p>Historically, the study of monomial ideals became fashionable after the pioneering work by Richard Stanley in 1975 on the upper bound conjecture for spheres. On the other hand, since the early 1990s, under the strong influence of GrΓΆbner bases, binomial ideals became gradually fashionable in comm
Monomial Ideals: Course Notes
β Scribed by Mark Rogers-Sean Sather-Wagsta
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<p><p>This book demonstrates current trends in research on combinatorial and computational commutative algebra with a primary emphasis on topics related to monomial ideals.</p><p>Providing a useful and quick introduction to areas of research spanning these fields, Monomial Ideals is split into three
<p><p>This book demonstrates current trends in research on combinatorial and computational commutative algebra with a primary emphasis on topics related to monomial ideals.</p><p>Providing a useful and quick introduction to areas of research spanning these fields, Monomial Ideals is split into three
<p><p>This book demonstrates current trends in research on combinatorial and computational commutative algebra with a primary emphasis on topics related to monomial ideals.</p><p>Providing a useful and quick introduction to areas of research spanning these fields, Monomial Ideals is split into three
Part I GrοΏ½bner bases: Monomial Ideals.- A short introduction to GrοΏ½bner bases.- Monomial orders and weights.- Generic initial ideals.- The exterior algebra.- Part II: Hilbert functions and resolutions.- Hilbert functions and the theorems of Macaulay and Kruskal-Katona.- Resolutions of monomial ideal